The average number of pounds of a meat that a person consumesa year is 217.9 pou

Question

The average number of pounds of a meat that a person consumesa year is 217.9 pounds. Assume that the standard deviation is26 pounds and the distribution is approximately normal. Findthe probability, rounded to four decimal places, that a personselected at random consumes less than 224 pounds per year. Your answer The average number of pounds of a meat that a person consumesa year is 217.9 pounds. Assume that the standard deviation is26 pounds and the distribution is approximately normal. Findthe probability, rounded to four decimal places, that a personselected at random consumes less than 224 pounds per year. Your answer

Explanation / Answer

Let X be the random variable , it gives the pounds of a meat a person consumes. Then X is normally distributed and X ~N(217.9 , 26 ) If Z = ( X - 217.9 ) /26      then Z is standard normal random variable ,   Z ~N( 0, 1)    P[ X < 224 ] = P [ (X - 217.9) / 26< (224 - 217.9) / 26 ]                        = P [ Z < 0.2346 ]   = 0.5927 ..........using tables

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